1. The Origin of Modern Astronomy Chapter 4

2. The sun, moon, and planets sweep out a beautiful and complex dance across the heavens. Previous chapters have described that dance; this chapter describes how astronomers learned to understand what they saw in the sky and how that changed humanity’s understanding of what we are. In learning to interpret what they saw, Renaissance astronomers invented a new way of knowing about nature, a way of knowing that we recognize today as modern science. This chapter tells the story of heavenly motion from a cultural perspective. In the next chapter, we will give meaning to the motions in the sky by adding the ingredient Renaissance astronomers were missing—gravity. Guidepost

3. I. The Roots of Astronomy A. Archaeoastronomy B. The Astronomy of Greece C. The Ptolemaic Universe II. The Copernican Revolution A. Copernicus the Revolutionary B. Galileo the Defender III. The Puzzle of Planetary Motion A. Tycho the Observer B. Tycho Brahe's Legacy C. Kepler the Analyst D. Kepler's Three Laws of Planetary Motion E. The Rudolphine Tables IV. Modern Astronomy Outline

4. The Roots of Astronomy Already in the stone and bronze ages, human cultures realized the cyclic nature of motions in the sky. Monuments dating back to ~ 3000 B.C. show alignments with astronomical significance. Those monuments were probably used as calendars or even to predict eclipses.

5. Stonehenge Alignments with locations of sunset, sunrise, moonset and moonrise at summer and winter solstices Probably used as a calendar. Summer solstice Heelstone Constructed: 3000 – 1800 B.C.

6. Other Examples All Over the World Big Horn Medicine Wheel (Wyoming)

7. Other Examples All Over the World (2) Caracol (Maya culture, approx. A.D. 1000)

8. Ancient Greek Astronomers (1) Unfortunately, there are no written documents about the significance of stone and bronze age monuments. First preserved written documents about ancient astronomy are from ancient Greek philosophy. Greeks tried to understand the motions of the sky and describe them in terms of mathematical (not physical!) models.

9. Ancient Greek Astronomers (2) Models were generally wrong because they were based on wrong “first principles”, believed to be “obvious” and not questioned: 1.Geocentric Universe: Earth at the Center of the Universe. 2.“Perfect Heavens”: Motions of all celestial bodies described by motions involving objects of “perfect” shape, i.e., spheres or circles.

10. Ancient Greek Astronomers (3) Eudoxus (409 – 356 B.C.): Model of 27 nested spheres Aristotle (384 – 322 B.C.), major authority of philosophy until the late middle ages: Universe can be divided in two parts: 1. Imperfect, changeable Earth, He expanded Eudoxus’ Model to use 55 spheres. 2. Perfect Heavens (described by spheres)

11. Eratosthenes (~ 200 B.C.): Calculation of the Earth’s radius Angular distance between Syene and Alexandria: ~ 7 0 Linear distance between Syene and Alexandria: ~ 5,000 stadia  Earth Radius ~ 40,000 stadia (probably ~ 14 % too large) – better than any previous radius estimate.

12. Eratosthenes’s Experiment (SLIDESHOW MODE ONLY)

13. Later refinements (2nd century B.C.) Hipparchus: Placing the Earth away from the centers of the “perfect spheres” Ptolemy: Further refinements, including epicycles Inner planet epicyclesOuter planet epicycles

14. Epicycles The Ptolemaic system was considered the “standard model” of the Universe until the Copernican Revolution. Introduced to explain retrograde (westward) motion of planets

15. Epicycles (SLIDESHOW MODE ONLY)

16. The Copernican Revolution Nicolaus Copernicus (1473 – 1543): Heliocentric Universe (Sun in the Center)

17. Copernicus’ new (and correct) explanation for retrograde motion of the planets This made Ptolemy’s epicycles unnecessary. Retrograde (westward) motion of a planet occurs when the Earth passes the planet. The Universe: CopernicusVideo: Sun in the Center

18. Galileo Galilei (1594 – 1642) Invented the modern view of science: Transition from a faith-based “science” to an observation-based science. Greatly improved on the newly invented telescope technology. (But Galileo did NOT invent the telescope!) Was the first to meticulously report telescope observations of the sky to support the Copernican Model of the Universe.

19. Major Discoveries of Galileo Moons of Jupiter (4 Galilean moons) Rings of Saturn (What he really saw)

20. Major Discoveries of Galileo (2) Surface structures on the moon; first estimates of the height of mountains on the moon

21. Major Discoveries of Galileo (3) Sun spots (proving that the sun is not perfect!)

22. Major Discoveries of Galileo (4) Phases of Venus (including “full Venus”), proving that Venus orbits the sun, not the Earth! Phases of Venus animation

23. Tycho Brahe’s Solar System Made the most accurate measure of the positions of stars to date. Rejected the Ptolemaic and Copernican models in favor of a complex Earth-centered system with other planets orbiting the Sun. Hired Johannes Kepler as an assistant. He used star data to develop three laws of planetary motion.

24. Johannes Kepler (1571 – 1630) Used the precise observational tables of Tycho Brahe (1546 – 1601) to study planetary motion mathematically. 1.Circular motion and Planets move around the sun on elliptical paths, with non-uniform velocities. Found a consistent description by abandoning both 2.Uniform motion. Video: Brahe & Kepler

25. Kepler’s Laws of Planetary Motion 1 st Law: The orbits of the planets are ellipses with the sun at one focus. Eccentricity e = c/a c

26. Eccentricities of Ellipses e = 0.02 e = 0.1e = 0.2 e = 0.4e = 0.6 1)2)3) 4) 5)

27. Eccentricities of Planetary Orbits Orbits of planets are virtually indistinguishable from circles: Earth: e = 0.0167 Most extreme example: Pluto: e = 0.248

28. Planetary Orbits (2) 3 rd Law: A planet’s orbital period (P) squared is proportional to its average distance from the sun (a) cubed: P y 2 = a AU 3 2 nd Law: A line from a planet to the sun sweeps over equal areas in equal intervals of time. (P y = period in years; a AU = distance in AU)

29. Historical Overview

30. archaeoastronomy eccentric uniform circular motion geocentric universe parallax retrograde motion epicycle deferent equant heliocentric universe paradigm ellipse semimajor axis, a eccentricity, e hypothesis theory natural law New Terms